GCF (HCF) of 76 and 104

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What is the Greatest Common Divisor of 76 and 104?

Answer

GCF (HCF) of 76 and 104 is
4

Common factors: 1, 2, 4

4 divides both: 76 ÷ 4 = 19, 104 ÷ 4 = 26 — and 19 and 26 share no factor but 1, so no larger number divides both.

76 = 22 × 19

104 = 23 × 13

Prime76104Lowest power
2222322
13—13—
1919——

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 22 = 4

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GCF Table

Number 1Number 2GCF
76891
76902
76911
76924
76931
76942
769519
76964
76971
76982
76991
761004
761011
761022
761031
761044
761051
761062
761071
761084
761091
761102
761111
761124
761131
7611438
761151
761164
761171
761182

FAQ

What is the Greatest Common Divisor of 76 and 104?

GCF (HCF) of 76 and 104 is 4

How to find the GCF of 76 and 104?

You can find the GCF of 76 and 104 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 76 and 104 is 4.

What prime factors do 76 and 104 share?

The prime factorizations of 76 and 104 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 76/104?

Divide the numerator and the denominator by the GCF 4: 76 ÷ 4 = 19 and 104 ÷ 4 = 26. So 76/104 in lowest terms is 19/26.

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